GCD of 408, 597, 968, 891 Calculator

Given Input numbers are 408, 597, 968, 891

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 408, 597, 968, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 597, 968, 891 is 1.

Therefore, GCD of numbers 408, 597, 968, 891 is 1

Given Input Data is 408, 597, 968, 891

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 597 is 3 x 199

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(408, 597) = 81192

GCD(408, 597) = ( 408 x 597 ) / 81192

GCD(408, 597) = 243576 / 81192

GCD(408, 597) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 968

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 968) = 2904

GCD(3, 968) = ( 3 x 968 ) / 2904

GCD(3, 968) = 2904 / 2904

GCD(3, 968) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1

GCD of 408, 597, 968, 891 is 1

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1. What is the GCD of 408, 597, 968, 891?

GCD of 408, 597, 968, 891 is 1

2. Where do I get the detailed procedure to find GCD of 408, 597, 968, 891?

You can find a detailed procedure to find GCD of 408, 597, 968, 891 on our page.

3. How to find GCD of 408, 597, 968, 891 on a calculator?

You can find the GCD of 408, 597, 968, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.